9t^2+171t+162=

Solution for 9t^2+171t+162= equation:

Simplifying
9t2 + 171t + 162 = 0

Reorder the terms:
162 + 171t + 9t2 = 0

Solving
162 + 171t + 9t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '9'.
9(18 + 19t + t2) = 0

Factor a trinomial.
9((18 + t)(1 + t)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(18 + t)' equal to zero and attempt to solve:

Simplifying
18 + t = 0

Solving
18 + t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-18' to each side of the equation.
18 + -18 + t = 0 + -18

Combine like terms: 18 + -18 = 0
0 + t = 0 + -18
t = 0 + -18

Combine like terms: 0 + -18 = -18
t = -18

Simplifying
t = -18
Subproblem 2
Set the factor '(1 + t)' equal to zero and attempt to solve:

Simplifying
1 + t = 0

Solving
1 + t = 0

Move all terms containing t to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + t = 0 + -1

Combine like terms: 1 + -1 = 0
0 + t = 0 + -1
t = 0 + -1

Combine like terms: 0 + -1 = -1
t = -1

Simplifying
t = -1
Solution
t = {-18, -1}